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Finding the Third Proportional to 55,353 and 83,097

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Solution

The third proportional to 55,353 and 83,097 is: 124,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,353 : 83,097 = 83,097 : x
  2. Step 2: Convert to fraction form
    55,353/83,097 = 83,097/x
  3. Step 3: Cross multiply
    55,353x = 83,097 × 83,097
  4. Step 4: Simplify right side
    55,353x = 6,905,111,409
  5. Step 5: Solve for x
    x = 6,905,111,409/55,353
  6. Step 6: Final answer
    x = 124,746.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.